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(Look at screenshot)
7. The graph represents the height of a passenger car on a ferris wheel, in feet, as a
function of time, in seconds.
Use the graph to help you:

a. Find H(0).
b. Does H(t)=0 have a solution? Explain how you know.
c. Describe the domain of the function.
d. Describe the range of the function.

Look At Screenshot 7 The Graph Represents The Height Of A Passenger Car On A Ferris Wheel In Feet As A Function Of Time In Seconds Use The Graph To Help You A F class=

Sagot :

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Step-by-step explanation:

Use the graph to dtermine the answer for each part of question

a)

  • H(0) = 5

b)

  • H(t) = 0 has no solution as its minimum value is 5 feet

c)

  • The domain all positive rational numbers, since time is zero or positive.

d)

  • The range changes between 5 and 55 feet, according to the graph.
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Answer:

a.   5 ft

b.   No - see below

c.   [0, ∞)

d.   [5, 55]

Step-by-step explanation:

From inspection of the graph:

  • x-axis:  t = time (in seconds)
  • y-axis:  H(t) = height (in feet)

Part a

When H(0), t = 0  ⇒  y-intercept.

Therefore, from inspection of the graph, H(0) = 5 ft

Part b

H(t) = 0 does not have a solution as the curve never touches the y-axis (when y = 0).

Part c

Domain: set of all possible input values (x-values)

The domain is time (t) (x-axis), therefore the domain is [0, ∞)

Part d

Range: set of all possible output values (y-values)

From inspection of the graph, the lowest value of H(t) is 5 and the highest value of H(t) is 55.  Therefore, the range is [5, 55]

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